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Finding the Fourth Proportional to 16,241.40, 22,417.92 and 9,528.48

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Solution

The fourth proportional to 16,241.40, 22,417.92 and 9,528.48 is: 13,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.40 : 22,417.92 = 9,528.48 : x
  2. Step 2: Convert to fraction form
    16,241.40/22,417.92 = 9,528.48/x
  3. Step 3: Cross multiply
    16,241.40x = 22,417.92 × 9,528.48
  4. Step 4: Simplify right side
    16,241.40x = 213,608,702.36
  5. Step 5: Solve for x
    x = 213,608,702.36/16,241.40
  6. Step 6: Final answer
    x = 13,152.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.